Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2024; 61(3): 597-610

Online first article March 18, 2024      Printed May 31, 2024

https://doi.org/10.4134/BKMS.b230262

Copyright © The Korean Mathematical Society.

On the growth of algebroid solutions of algebraic differential equations

Manli Liu, Linlin Wu

South China Agricultural University; Qilu Normal University

Abstract

Using the Nevanlinna value distribution theory of algebroid functions, this paper investigates the growth of two types of complex algebraic differential equation with algebroid solutions and obtains two results, which extend the growth of complex algebraic differential equation with meromorphic solutions obtained by Gao [4].

Keywords: Meromorphic solution, complex differential equation, value distribution, algebroid solution

MSC numbers: Primary 30D35, 30D30

Supported by: This work was partially supported by the National Natural Science Foundation of China (No.12301095), Topics on Baisc and Applied Basic research of Guangzhou in 2023 (NO.2023A04J0648).